20,417 Answered Questions for the topic Algebra

Algebra Precalculus

07/20/21

Help me please thank you
The doubling period of bacterial population is 10 minutes. At time t=110 minutes, the bacterial population is 70000.What was the initial population at t=0?find the size of the bacterial population... more
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07/20/21

Two Cars (algebra)
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars... more
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07/20/21

𝑣=⟨7,3,10⟩ v = ⟨ 7 , 3 , 10 ⟩ 𝑤=⟨6,6,10⟩ w = ⟨ 6 , 6 , 10 ⟩ Find the cosine of the angle between 𝑣 v and 𝑤 w .
Find the cosine of the angle between  and .
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07/20/21

) Given the vectors 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) , what is the dot product 𝑎⋅𝑏⋅𝑎 a ⋅ b ⋅ a ?
) Given the vectors  and , what is the dot product ?
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07/20/21

Which of the following vectors is perpendicular to 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) ?
which of the following is perpendicualr to said vector
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07/20/21

Consider the vector 𝑣⎯⎯⎯ v ¯ between (−2,4,−5) ( − 2 , 4 , − 5 ) and (5,−2,−4) ( 5 , − 2 , − 4 ) .
the vector v ¯ is? THE LENGTH OF v ¯ IS? if the tail of v ¯ is at (5,-1,1), then the tip is at? if the tip of v ¯ is at (0, -5, -2) then the tail is at ? what vector has the same length as v ¯ but... more
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Algebra Linear Algebra

07/20/21

Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .
 Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .
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07/20/21

Express 5.6 sin ( x ) + 1.2 cos ( x ) 5.6 sin ( x ) + 1.2 cos ( x ) in the form k sin ( x + ϕ ) k sin ( x + ϕ )
Express  5.6sin(x)+1.2cos(x)  in the form  ksin(x+ϕ)K=_____ϕ= _____
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07/20/21

If sin α = 0.407 sin α = 0.407 and sin β = 0.982 sin β = 0.982 with both angles’ terminal rays in Quadrant-I, find the values of

If  sinα=0.407  and  sinβ=0.982  with both angles’ terminal rays in Quadrant-I, find the values of (a)cos(α−β)=_____(B)sin(β−α)=_____
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07/20/21

If cos α = 0.929 cos α = 0.929 and cos β = 0.632 cos β = 0.632.
If  cosα=0.929  and  cosβ=0.632 with both angles’ terminal rays in Quadrant-I, find the values of (a)cos(β−α)= ______(B) sin(β−α)= ______
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Algebra

07/20/21

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Fourth-degree and a single zero of −3.
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Algebra Logarithm

07/20/21

What is the initial population at time t=0?
The doubling period of a bacterial population is 20 minutes. At time t=100 minutes, the bacterial population was 60,000. What was the initial population at time=0?Find the size of the bacterial... more
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Algebra

07/20/21

chairs and tables for rent.what total cost to rent two chairs and three tables is $25 so the total cost to rent six chairs and 5 tables is $49 what is total cost of each chair and each table
A party rental company has chairs and tables the total cost for two chairs three tables is 25 the total cost for 6 chairs and 5 tables is 49 what is the cost of each chair each table
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Algebra

07/20/21

the profit p(x)
the profit p(x) generated after producing and selling x units of a product ia given by the function p(x)=r(x)-c(x) where r and c are the revenue and cost functions, respectively. a local sandwich... more
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Algebra

07/20/21

farmer ed has 140
farmer ed has 140 feet of fencing, and wants to enclose a rectangular plot that borders on the river. if farmer ed does not fence the side along the river, find the length and width of the plot... more
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07/19/21

Math question. Need help.
List two more functions that are inverses of each other.
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Algebra

07/19/21

Equations by substitution or addition/elimination method
Please help and show me step by step how to use the sub/add/elim method for this equation:4x-16y=188y=6+2x
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Algebra

07/19/21

A motorboat travels 260 kilometers in 5 hours going upstream and 352 kilometers in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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07/19/21

Help needed. ASAP Thank YOu!
Explain how you can tell that f(x) = x3 and  are inverse functions.List two more functions that are inverses of each other.
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07/19/21

A rectangular garden is completely enclosed by a 120-foot fence.

A rectangular garden is completely enclosed by a 120 foot fence. If the gardens width is 4 feet less than its length, what are the gardens dimensions? (How wide is the garden, and how long is the... more
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07/19/21

Algebraic Problem
5-2(4-2/3)-22-(-2)2+5/7-1/3÷2
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Algebra

07/18/21

solve the system using the Guass-Jordan method. -4x+2y=-6 ; x+3y=5
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Algebra

07/18/21

Determine whether the function shown is constant, linear, quadratic, or none of these. z(x)=1+6x^+4x
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07/18/21

Alg 2 question. Need help thank you!
A. For what domain are f(x) = x2 and  inverse functions? Make sure you use set builder notation. B. Explain how you can tell that f(x) = x3 and  are inverse functions. Explain.C. List two more... more
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07/18/21

Christie pilots her plane for 240 mi against a headwind in 2 hrs. The flight would take 1 hr and 30 mins with a tailwind of the same speed. Find the headwind and the speed of the plane in still air.
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